Recent Tutoring Session Reviews
"Today the student and I went over how to find the angles (or radians) associated with different sine, cosine, and tangent problems. We also worked on how to prove different trigonometric identities given all the trigonometric identities that are known. The proofs for some of these problems were pretty length at times, so I can completely understand why the student got stuck on these problems."
"We worked on vectors for a little while. The student seemed to have a decent grasp on vectors. After we worked on vectors, we worked on a project of hers in Pre-Calc concerning a hypocycloid. We were able to create a fully functioning graph describing a hypocycloid. We have scheduled another session to work on her upcoming test next Monday."
"Since the student has already taken both of her exams, we decided to spend the day working on math. She has a pre-calc test tomorrow and the material seems especially difficult. A variety of concepts were involved: conic sections, polar vs. rectangular coordinates, graphing, and more. We had several breakthroughs that make me optimistic about her performance on this exam. First, we worked together to discover how to graph polar equations. Second, she had missed class when her teacher covered parametric equations, so I helped explain this somewhat confusing topic. Finally, we practiced converting between polar and rectangular coordinate systems. Though the test still involves some tricky review material, she definitely has a better understanding of the entire chapter after tonight's session. She did great!"
"We went over the current chapter on limits of functions. We first went over the start of the chapter involving the definition of a limit and how to find it graphically and numerically using a table. We then went over properties of limits and ways of solving limits algebraically, both through direct substitution and factoring. We got ahead in the homework and the student seemed to understand the material very well."
"Today, we discussed and practiced problems with limits of composition and continuity of graphs/equations. We also worked a few practice AP test questions (free-response) for her upcoming AP Biology test next week."
"The student was preparing for a test that would be today and he also informed me that he received an 11/12 on his last quiz which was great news. The test would cover topics from the last quiz in addition to graphing and transformations of triangles. He had a review packet and we started there, noting anything he struggled with. We spent a lot of time looking at his notes from class and writing down the rules for each of the triangle transformations and did several practice problems of those type. In addition we did a run through of the review packet but with different numbers. In addition, I instructed him to write the transformation out on paper before he drew the final triangle on graph paper."
"We went over piecewise and composite functions. The student had no trouble with the material. We practiced analyzing domain of composite functions and simplifying them."
"Today we started reviewing for his final which is in a couple of weeks. He is no longer receiving new material in class, so from here on out we will be reviewing for the final. His final is primarily on trigonometry, so today we focused on sinusoidal graphs and equations. He has to be able to identify the amplitude, phase shift, and intervals for sinusoidal graphs. We went through several problems from his review sheet where he had to identify these factors from a given equation (e.g. y=2sin(x-5)). He did very well with this. Prior to starting the practice problems I did talk through a generic formula y=k +A*f[B(x-h)] and explained what each variable did to the trig functions. He did very well with the practice problems. I also had him sketch the graphs so that he could easily identify them if he was given such a problem on his final. We will continue our review next week with trig identities (e.g. double angle formulas)."
"The student and I talked about Pascal's triangle and how to find various terms based on the combination of two numbers and the degree of the polynomial. He should be fine for his test coming up. He got a 100 on his quiz most recently."
"Reviewed the last test going over what was missed and locating what the problem areas were. From there we went right into final review, going through the student's first review packet and answering problems he felt unsure on."
"The student has performed extremely well (A's) on her most recent assessments, and she has a final exam next Thursday, so we've been focusing on her areas of improvement, which are mainly trigonometric proofs and simplifications."
"Today, the student and I worked on simplifying rational expressions, solving rational equations, and using DeMoivre's Theorem to find powers and roots of complex numbers. He did well with the complex number work almost immediately."